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Finding the Third Proportional to 29,842,020 and 47,453,256

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Solution

The third proportional to 29,842,020 and 47,453,256 is: 75,457,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842,020 : 47,453,256 = 47,453,256 : x
  2. Step 2: Convert to fraction form
    29,842,020/47,453,256 = 47,453,256/x
  3. Step 3: Cross multiply
    29,842,020x = 47,453,256 × 47,453,256
  4. Step 4: Simplify right side
    29,842,020x = 2,251,811,505,001,536
  5. Step 5: Solve for x
    x = 2,251,811,505,001,536/29,842,020
  6. Step 6: Final answer
    x = 75,457,743.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.